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Finding the Third Proportional to 81,469 and 170,385

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Solution

The third proportional to 81,469 and 170,385 is: 356,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469 : 170,385 = 170,385 : x
  2. Step 2: Convert to fraction form
    81,469/170,385 = 170,385/x
  3. Step 3: Cross multiply
    81,469x = 170,385 × 170,385
  4. Step 4: Simplify right side
    81,469x = 29,031,048,225
  5. Step 5: Solve for x
    x = 29,031,048,225/81,469
  6. Step 6: Final answer
    x = 356,344.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.